Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

2009/09/30 by Ali N. Khorramian, H. Khanpour, Hamzeh Khanpour +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.81.014013

published as Phys.Rev.D81:014013,2010 · 30 pages, 5 figures and 4 tables

openalex publication_date 2010/01/14 · arxiv created 2010/01/20 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the results of our QCD analysis for nonsinglet unpolarized quark distributions and structure function F₂(x,Q²) up to next-to-next-to-next-to leading order (N³LO). In this regards 4-loop anomalous dimension can be obtained from the Pad'e approximations. The analysis is based on the Jacobi polynomials expansion of the structure function. New parameterizations are derived for the nonsinglet quark distributions for the kinematic wide range of x and Q². Our calculations for nonsinglet unpolarized quark distribution functions up to N³LO are in good agreement with available theoretical models. The higher twist contributions of F₂^p,d(x,Q²) are extracted in the large x region in N³LO analysis. The values of \ensuremathΛ_QCD and \ensuremathα_s(M_z²) are determined.

Citations

• Non-singlet QCD analysis of F2(x,Q2) up to NNLO
• NNLO evolution of deep-inelastic structure functions: the non-singlet case

Cited by

• QCD analysis of non-singlet structure functions at NNLO accuracy, based on the Laplace transform